10628316 has 36 divisors (see below), whose sum is σ = 27197352. Its totient is φ = 3499104.

The previous prime is 10628309. The next prime is 10628329. The reversal of 10628316 is 61382601.

10628316 = T₄₆₄ + T₄₆₅ + ... + T₅₄₆.

10628316 is a `hidden beast` number, since 1 + 0 + 628 + 31 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10628316² = 225922201991712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10628316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1210 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (755482).

Almost surely, 2^10628316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10628316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598676).

10628316 is an abundant number, since it is smaller than the sum of its proper divisors (16569036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10628316 is a wasteful number, since it uses less digits than its factorization.

10628316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10628316 is about 3260.1098141014. The cubic root of 10628316 is about 219.8643516404.

The spelling of 10628316 in words is "ten million, six hundred twenty-eight thousand, three hundred sixteen".